Adaptive low-rank methods for problems on Sobolev spaces with error control in L2

Author:

Bachmayr M.,Dahmen W.

Publisher

EDP Sciences

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference30 articles.

1. Andreev R. and Tobler C., Multilevel preconditioning and low rank tensor iteration for space-time simultaneous discretizations of parabolic PDEs.Numer. Linear Algebra Appl.22(2015) 317–337.

2. M. Bachmayr,Adaptive Low-Rank Wavelet Methods and Applications to Two-Electron Schrödinger Equations. Ph.D. thesis, RWTH Aachen (2012).

3. M. Bachmayr and W. Dahmen, Adaptive low-rank methods: Problems on Sobolev spaces. Preprint arXiv:1407.4919 [math.NA] (2014).

4. Bachmayr M. and Dahmen W., Adaptive near-optimal rank tensor approximation for high-dimensional operator equations.Found. Comput. Math.15(2015) 839–898.

5. Ballani J. and Grasedyck L., A projection method to solve linear systems in tensor format.Numer. Linear Algebra Appl.20(2013) 27–43.

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